Holder Continuous Solutions of Second Order Degenerate Differential Equations with Finite Delay

被引：1
|
作者：
Bu, Shangquan [1 ]
Cai, Gang [2 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China
来源：
RESULTS IN MATHEMATICS | 2019年 / 74卷 / 01期
关键词：
Well-posedness; degenerate differential equations; C-alpha-multiplier; Holder continuous function spaces;
D O I：
10.1007/s00025-019-0982-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we characterize the C-alpha-well-posedness of the second order degenerate differential equation with finite delay (Mu)''(t)=Au(t)+Fu(t)+f(t), (t is an element of R) by using known operator-valued Fourier multiplier results on C-alpha(R;X), where A,M are closed linear operators on a complex Banach space X satisfying D(A)boolean AND D(M)not equal{0}, r>0 is fixed and F is a bounded linear operator from C([-r,0]; X) into X.
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页数：15
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